In the coordinate plane, circle C has a center at point (3, 4) and a radius of 5 units. Circle D has a center at point (7, 8) and a radius of 3 units. Determine the area of the region that is inside both circles.
Recall that the area of a circle is given by the formula:
$$A = heta imes r^2$$
for any angle $ heta$ in radians. If two circles overlap, you must factor in the geometry of the intersection.